Question : Two numbers are in the ratio 11 : 6. If their HCF is 4, find the smallest number.
Option 1: 30
Option 2: 18
Option 3: 24
Option 4: 12
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Correct Answer: 24
Solution : Given: Two numbers are in the ratio 11 : 6 and their HCF is 4. So, the two numbers are (11 × 4) = 44 and (6 × 4) = 24 Therefore, the smallest number is 24. Hence, the correct answer is 24.
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Question : Two numbers are in the ratio 9 : 7. If their HCF is 6, find their LCM.
Option 1: 189
Option 2: 126
Option 3: 378
Option 4: 252
Question : If LCM of two numbers is 72 and their product is 1728 , then what is the HCF of the numbers?
Option 1: 1
Question : Two numbers are in the ratio of 3 : 5. If their HCF is 8, then find the numbers.
Option 1: 36 and 60
Option 2: 12 and 20
Option 3: 48 and 80
Option 4: 24 and 40
Question : Directions: Which two numbers should be interchanged to make the given equation correct? 144 ÷ 24 × 6 + 12 – 18 = 78
Option 1: 6 and 18
Option 2: 24 and 12
Option 3: 24 and 6
Option 4: 24 and 18
Question : If the ratio of the volumes of two cylinders is 6 : 5 and the ratio of their heights is 5 : 24, then what is the ratio of their radii?
Option 1: 12 : 7
Option 2: 5 : 6
Option 3: 1 : 2
Option 4: 12 : 5
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